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Ultra-slow-roll inflation with quantum diffusion

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Ultra-slow-roll inflation with quantum diffusion. / Pattison, Christopher David; Vennin, Vincent; Wands, David; Assadullahi, Hooshyar.

In: Journal of Cosmology and Astroparticle Physics, Vol. 2021, No. 04, 080, 30.04.2021, p. 1-40.

Research output: Contribution to journalArticlepeer-review

Harvard

Pattison, CD, Vennin, V, Wands, D & Assadullahi, H 2021, 'Ultra-slow-roll inflation with quantum diffusion', Journal of Cosmology and Astroparticle Physics, vol. 2021, no. 04, 080, pp. 1-40. https://doi.org/10.1088/1475-7516/2021/04/080

APA

Pattison, C. D., Vennin, V., Wands, D., & Assadullahi, H. (2021). Ultra-slow-roll inflation with quantum diffusion. Journal of Cosmology and Astroparticle Physics, 2021(04), 1-40. [080]. https://doi.org/10.1088/1475-7516/2021/04/080

Vancouver

Pattison CD, Vennin V, Wands D, Assadullahi H. Ultra-slow-roll inflation with quantum diffusion. Journal of Cosmology and Astroparticle Physics. 2021 Apr 30;2021(04):1-40. 080. https://doi.org/10.1088/1475-7516/2021/04/080

Author

Pattison, Christopher David ; Vennin, Vincent ; Wands, David ; Assadullahi, Hooshyar. / Ultra-slow-roll inflation with quantum diffusion. In: Journal of Cosmology and Astroparticle Physics. 2021 ; Vol. 2021, No. 04. pp. 1-40.

Bibtex

@article{541335d1f3be43a983d124e36028f7e6,
title = "Ultra-slow-roll inflation with quantum diffusion",
abstract = "We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation. We extend the stochastic-δΝ formalism to the ultra-slow-roll regime and show how this system can be solved analytically in both the classical-drift and quantum-diffusion dominated limits. By deriving the characteristic function, we are able to construct the full probability distribution function for the primordial density field. In the diffusion-dominated limit, we recover an exponential tail for the probability distribution, as found previously in slow-roll inflation. To complement these analytical techniques, we present numerical results found both by very large numbers of simulations of the Langevin equations, and through a new, more efficient approach based on iterative Volterra integrals. We illustrate these techniques with two examples of potentials that exhibit an ultra-slow-roll phase leading to the possible production of primordial black holes.",
keywords = "RCUK, STFC, ST/S000550/1, inflation, primordial black holes",
author = "Pattison, {Christopher David} and Vincent Vennin and David Wands and Hooshyar Assadullahi",
note = "35 pages without appendices (total 43 pages), 9 figures, matches the version published in JCAP",
year = "2021",
month = apr,
day = "30",
doi = "10.1088/1475-7516/2021/04/080",
language = "English",
volume = "2021",
pages = "1--40",
journal = "Journal of Cosmology and Astroparticle Physics",
issn = "1475-7516",
publisher = "IOP Publishing",
number = "04",

}

RIS

TY - JOUR

T1 - Ultra-slow-roll inflation with quantum diffusion

AU - Pattison, Christopher David

AU - Vennin, Vincent

AU - Wands, David

AU - Assadullahi, Hooshyar

N1 - 35 pages without appendices (total 43 pages), 9 figures, matches the version published in JCAP

PY - 2021/4/30

Y1 - 2021/4/30

N2 - We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation. We extend the stochastic-δΝ formalism to the ultra-slow-roll regime and show how this system can be solved analytically in both the classical-drift and quantum-diffusion dominated limits. By deriving the characteristic function, we are able to construct the full probability distribution function for the primordial density field. In the diffusion-dominated limit, we recover an exponential tail for the probability distribution, as found previously in slow-roll inflation. To complement these analytical techniques, we present numerical results found both by very large numbers of simulations of the Langevin equations, and through a new, more efficient approach based on iterative Volterra integrals. We illustrate these techniques with two examples of potentials that exhibit an ultra-slow-roll phase leading to the possible production of primordial black holes.

AB - We consider the effect of quantum diffusion on the dynamics of the inflaton during a period of ultra-slow-roll inflation. We extend the stochastic-δΝ formalism to the ultra-slow-roll regime and show how this system can be solved analytically in both the classical-drift and quantum-diffusion dominated limits. By deriving the characteristic function, we are able to construct the full probability distribution function for the primordial density field. In the diffusion-dominated limit, we recover an exponential tail for the probability distribution, as found previously in slow-roll inflation. To complement these analytical techniques, we present numerical results found both by very large numbers of simulations of the Langevin equations, and through a new, more efficient approach based on iterative Volterra integrals. We illustrate these techniques with two examples of potentials that exhibit an ultra-slow-roll phase leading to the possible production of primordial black holes.

KW - RCUK

KW - STFC

KW - ST/S000550/1

KW - inflation

KW - primordial black holes

UR - http://arxiv.org/pdf/2101.05741v3

U2 - 10.1088/1475-7516/2021/04/080

DO - 10.1088/1475-7516/2021/04/080

M3 - Article

VL - 2021

SP - 1

EP - 40

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 04

M1 - 080

ER -

ID: 27438799